The generator matrix 1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 0 X 1 1 1 0 1 2X 1 1 1 1 1 0 X 1 1 0 1 1 2 0 1 2 1 2X+1 1 0 2 X+2 2X+1 0 1 1 0 2 2 1 2X+1 1 X 2X+1 X+1 X 2X+1 1 X X+1 2X+2 0 0 2X 0 0 0 0 0 0 0 2X X X 2X 2X 2X 2X 2X 2X X X X 2X X X X X 0 0 X 0 2X 0 0 0 X 0 0 0 X 2X X 0 2X X 2X 2X 0 2X X 0 2X X 2X 0 X 0 2X 2X 0 X 2X 2X 0 0 0 0 0 X 0 X X X X X 2X 0 X X 0 2X 2X 0 0 2X 2X 2X 0 2X 2X 0 0 2X 0 X 2X 0 0 0 0 0 2X 2X 0 2X X 0 2X X X 2X 2X X 2X 2X 0 2X X X 0 2X 0 2X X 2X 0 0 X generates a code of length 32 over Z3[X]/(X^2) who´s minimum homogenous weight is 53. Homogenous weight enumerator: w(x)=1x^0+24x^53+162x^54+78x^55+108x^56+342x^57+156x^58+180x^59+542x^60+246x^61+330x^62+902x^63+432x^64+360x^65+902x^66+330x^67+306x^68+512x^69+186x^70+132x^71+188x^72+30x^73+18x^74+44x^75+26x^78+16x^81+8x^84 The gray image is a linear code over GF(3) with n=96, k=8 and d=53. This code was found by Heurico 1.16 in 2.72 seconds.